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Finding the Fourth Proportional to 14,358.42, 19,812.57 and 7,984.56

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Solution

The fourth proportional to 14,358.42, 19,812.57 and 7,984.56 is: 11,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.42 : 19,812.57 = 7,984.56 : x
  2. Step 2: Convert to fraction form
    14,358.42/19,812.57 = 7,984.56/x
  3. Step 3: Cross multiply
    14,358.42x = 19,812.57 × 7,984.56
  4. Step 4: Simplify right side
    14,358.42x = 158,194,653.92
  5. Step 5: Solve for x
    x = 158,194,653.92/14,358.42
  6. Step 6: Final answer
    x = 11,017.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.